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13 Sep 2016, 12:26
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Color X ink is created by blending red, blue, green, and yellow inks in the ratio 6:5:2:2. What is the number of liters of green ink that was used to create a certain batch of color X ink?
(1) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.
(2) The batch consists of 30 liters of color X ink.
ID 08854
(1) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.
(2) The batch consists of 30 liters of color X ink.
ID 08854
04 Aug 2019, 15:22
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felippemed
Color X ink is created by blending red, blue, green, and yellow inks in the ratio 6:5:2:2. What is the number of liters of green ink that was used to create a certain batch of color X ink?
(1) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.
(2) The batch consists of 30 liters of color X ink.
(1) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.
(2) The batch consists of 30 liters of color X ink.
Let the number of liters of red ink be = 6*x
blue ink be = 5*x
green ink be = 2*x
yellow ink be = 2*x
Statement 1 says , 6*x - 5*x = 2
x = 2
So the number of liters of green ink = 2 *2 = 4 liters
Statement 2 says , 15 *x = 30
x = 2
So the number of liters of green ink = 2 *2 = 4 liters
Each statement is sufficient.
Option D is the answer.
Please give me KUDOs if you liked my explanation.
General Discussion
Senthil1981
Joined: 23 Apr 2015
Last visit: 14 Oct 2021
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Location: United States
Concentration: General Management, International Business
Schools: Booth PT '19 Ross Weekend"19
WE:Engineering (Consulting)
13 Sep 2016, 12:58
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felippemed
Color X ink is created by blending red, blue, green, and yellow inks in the ratio 6:5:2:2. What is the number of liters of green ink that was used to create a certain batch of color X ink?
(I) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.
(II) The batch consists of 30 liters of color X ink.
(I) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.
(II) The batch consists of 30 liters of color X ink.
Given Red : Blue : Green : Yellow = 6:5:2:2
1) Red - Green = 2, so ratio is 6:5 for 15 litres, so for 2 litres difference it has to be 30 litres.
Sufficient , A or D
2) Total is 30 litres in the ratio of 6:5:2:2
Sufficient . Hence D
